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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>The two solutions are</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
\begin{aligned}
&amp;{\bf x}^{(1)}=e^{\lambda t}({\bf a} \cos \mu t-{\bf b} \sin \mu t)=\left(
\begin{array}{c}
5\\
2
\end{array}
\right) \cos t-\left(
\begin{array}{c}
0\\
-1
\end{array}
\right) \sin t=\left(
\begin{array}{c}
5 \cos t\\
2 \cos t+\sin t
\end{array}
\right),\\
&amp;{\bf x}^{(2)}=e^{\lambda t}({\bf b} \cos \mu t+{\bf a} \sin \mu t)=\left(
\begin{array}{c}
0\\
-1
\end{array}
\right) \cos +\left(
\begin{array}{c}
5\\
2
\end{array}
\right) \sin t=\left(
\begin{array}{c}
5 \sin t\\
-\cos t+2 \sin t
\end{array}
\right).
\end{aligned}
\end{equation*}
</div>
<p class="continuation">The fundamental matrix is</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
{\bm \Psi}(t)=\left(
\begin{array}{cc}
5 \cos t &amp; 5 \sin t\\
2 \cos t+\sin t &amp;-\cos t+2 \sin t
\end{array}
\right).
\end{equation*}
</div>
<span class="incontext"><a href="sec6_6.html#p-290" class="internal">in-context</a></span>
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